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Finding the Third Proportional to 3,617,604,201 and 7,836,201,725

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Solution

The third proportional to 3,617,604,201 and 7,836,201,725 is: 16,974,233,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,604,201 : 7,836,201,725 = 7,836,201,725 : x
  2. Step 2: Convert to fraction form
    3,617,604,201/7,836,201,725 = 7,836,201,725/x
  3. Step 3: Cross multiply
    3,617,604,201x = 7,836,201,725 × 7,836,201,725
  4. Step 4: Simplify right side
    3,617,604,201x = 61,406,057,474,892,972,032
  5. Step 5: Solve for x
    x = 61,406,057,474,892,972,032/3,617,604,201
  6. Step 6: Final answer
    x = 16,974,233,239.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.